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Finding the Fourth Proportional to 9,854.12, 13,598.69 and 5,605.17

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Solution

The fourth proportional to 9,854.12, 13,598.69 and 5,605.17 is: 7,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.12 : 13,598.69 = 5,605.17 : x
  2. Step 2: Convert to fraction form
    9,854.12/13,598.69 = 5,605.17/x
  3. Step 3: Cross multiply
    9,854.12x = 13,598.69 × 5,605.17
  4. Step 4: Simplify right side
    9,854.12x = 76,222,890.21
  5. Step 5: Solve for x
    x = 76,222,890.21/9,854.12
  6. Step 6: Final answer
    x = 7,735.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.